DocumentCode
1758927
Title
Classical Results on the Stability of Linear Time-Invariant Systems, and the Schwarz Form
Author
Shorten, Robert ; Narendra, K.S.
Author_Institution
IBM Res. Ireland, Dublin, Ireland
Volume
59
Issue
11
fYear
2014
fDate
Nov. 2014
Firstpage
3020
Lastpage
3025
Abstract
The paper deals with the classical results of Routh and Hurwitz, Biehler and Kharitonov, concerning the stability of a linear time invariant differential equation. It is shown that these results follow directly from a Schwarz matrix representation of stable systems.
Keywords
Routh methods; differential equations; linear systems; matrix algebra; Schwarz form; Schwarz matrix representation; linear time invariant differential equation; linear time-invariant systems; stability; Asymptotic stability; Context; Differential equations; Eigenvalues and eigenfunctions; Polynomials; Stability criteria; Routh Hurwitz; schwarz form; stability of polynomials;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2014.2320303
Filename
6805598
Link To Document